Absolute & Local Minimum and Maximum Values - Relative Extrema, Critical Numbers / Points Calculus

This calculus video tutorial explains how to find the absolute minimum and maximum values as well as the local max and local min. It explains the extreme value theorem for finding absolute extrema and discusses the first derivative test to identify relative maximum and minimum values using a sign chart on a number line. It also discusses how to find the critical points or critical numbers of a function. This video contains plenty of examples and difficult / hard practice problems.
Introduction to Limits:
• Calculus 1 - Introduct...
Derivatives - Fast Review:
• Calculus 1 - Derivatives
Introduction to Related Rates:
• Introduction to Relate...
_____________________________
Extreme Value Theorem:
• Extreme Value Theorem
Finding Critical Numbers:
• Finding Critical Numbers
Local Maximum & Minimum:
• Finding Local Maximum ...
Absolute Extrema:
• Finding Absolute Maxim...
Rolle's Theorem:
• Rolle's Theorem
________________________________
Mean Value Theorem:
• Mean Value Theorem
Increasing and Decreasing Functions:
• Increasing and Decreas...
First Derivative Test:
• First Derivative Test
Concavity & Inflection Points:
• Concavity, Inflection ...
Second Derivative Test:
• Second Derivative Test
_________________________________
L'Hopital's Rule:
• L'hopital's rule
Curve Sketching With Derivatives:
• Curve Sketching - Grap...
Newton's Method:
• Newton's Method
Optimization Problems:
• Optimization Problems ...
_______________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Пікірлер: 152

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor6 ай бұрын

    Final Exams and Video Playlists: www.video-tutor.net/

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    @safaali12506 жыл бұрын

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    @cubit404

    Жыл бұрын

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    @jnb3451

    Жыл бұрын

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  • @3rdDegree_

    @3rdDegree_

    7 ай бұрын

    2 years later, he has the same numbers just in a different order. At 7.21m subs now!

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    @raptorravioli4425 Жыл бұрын

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    @oliviawickett27324 жыл бұрын

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  • @powerToYourself36
    @powerToYourself365 жыл бұрын

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  • @powerToYourself36

    @powerToYourself36

    3 жыл бұрын

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    @powerToYourself36

    3 жыл бұрын

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    @christiancardenas3261

    3 жыл бұрын

    @@powerToYourself36 Wow noob. Still responding to replies 2 yrs later🤧

  • @powerToYourself36

    @powerToYourself36

    3 жыл бұрын

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  • @user-fx4jj3id1u

    @user-fx4jj3id1u

    3 жыл бұрын

    @@powerToYourself36 u still find the organic chemistry guy useful to u ? even after 2 years? and what are u studying right now ?

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    @m.amirulhakim74063 жыл бұрын

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    @ghhjjhjjjhujjvfhm7962

    3 жыл бұрын

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    3 жыл бұрын

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    3 жыл бұрын

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    @slimey_37

    2 жыл бұрын

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    @milotura6828

    Жыл бұрын

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    @mingjiejujason90734 жыл бұрын

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  • @hadeerrashad5486
    @hadeerrashad54866 жыл бұрын

    You’re videos are excellent because you explain and cover all the materials perfectly! Thank u very much!

  • @Mikss-i2c
    @Mikss-i2c3 жыл бұрын

    Much Love from Africa,you are really helpful sir.

  • @dinab8088
    @dinab80887 жыл бұрын

    In the class they don't teach us like that.. Thanks, it helped me a lot.

  • @ronalds271
    @ronalds2714 жыл бұрын

    You are the best teacher - best on KZread. I learn a lot from all your videos. Thank you so much. Please post more AP Calculus and AP Chemistry videos. Please post AP Calculus videos with solved college board questions. Thank you.

  • @johnguillen68
    @johnguillen687 жыл бұрын

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    @hunterzolomon35076 жыл бұрын

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    @notevennelson6 жыл бұрын

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    @mehirbanda71566 жыл бұрын

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    @jeremiaskorach6 жыл бұрын

    SUPER CLEAR! I LOVE THIS! please, keep up with the videos you are a life saver!

  • @Zenbeau
    @Zenbeau4 жыл бұрын

    from the bottom of my heart, thank you so much for these videos

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    @fritz4468 Жыл бұрын

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    @gabrielaquesada-mendez3566 жыл бұрын

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    @biakmuantonsing3813 жыл бұрын

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    @Islamicreminder2006 Жыл бұрын

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    @luigidegregorio51533 жыл бұрын

    you are really a great person thank you so much for shearing your knwledge because knowledge is freedoom

  • @kabeerjamal9518
    @kabeerjamal9518 Жыл бұрын

    This was really helpful, Thanks a lot.

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    @marvinsimukonda80492 жыл бұрын

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  • @Phyto.
    @Phyto.6 жыл бұрын

    Excellent, as always.

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    @md.akibhasan56337 жыл бұрын

    Thanks ❤. please do videos on area between two curves and also on volume by slicing disks and washers methods ,volume by cylindrical shells

  • @danjumaameh1601
    @danjumaameh16015 жыл бұрын

    OK. You corrected it. I was wondering why no one mentioned it earlier.

  • @anber4129
    @anber41295 жыл бұрын

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  • @naledibosigo3257
    @naledibosigo32573 жыл бұрын

    Thank you so much for everything 💕

  • @vaga8bnd
    @vaga8bnd3 жыл бұрын

    Very useful. Thank you sir.

  • @doricejustine8342
    @doricejustine83424 жыл бұрын

    Best teacher ever thank uuu so much

  • @jrivas8112
    @jrivas81124 жыл бұрын

    Wow your explanation was very clear. Like

  • @jemenztv3297
    @jemenztv329711 ай бұрын

    Very helpful,thanks ❤

  • @Mostafaadelahmed-my4rn
    @Mostafaadelahmed-my4rn7 жыл бұрын

    Thank you so much

  • @phenomenon7030
    @phenomenon70304 жыл бұрын

    that is a historical moment 36:45

  • @lauralang3113

    @lauralang3113

    3 жыл бұрын

    lol, he made a mistake!

  • @mazensooud3539
    @mazensooud35394 жыл бұрын

    Thank you very much👌👍

  • @name12nolastname56
    @name12nolastname566 жыл бұрын

    Thank You!

  • @StonesVoulaguealiyaini
    @StonesVoulaguealiyaini5 жыл бұрын

    All I could say is thank you very much.

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    @kadraabdoulkader8033 Жыл бұрын

    thank you so so much

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    @freezingwind39674 жыл бұрын

    thank you so much

  • @rosishkatuwal5677
    @rosishkatuwal56775 жыл бұрын

    Great video....👍👍👍

  • @doyoarero5599
    @doyoarero55994 жыл бұрын

    Thanks sir big salute!

  • @realAgitated
    @realAgitated6 жыл бұрын

    thank you chief

  • @SoniaAnastasiaaa
    @SoniaAnastasiaaa6 жыл бұрын

    these long videos are soo helpful and in depth, can you make vids on Vector Geometry and Linear Algebra !??!

  • @MA6manalac
    @MA6manalac5 жыл бұрын

    Cursseeee you, that tutor guyyyyyyyy!!!!!!!!!

  • @XxRespawNxX619
    @XxRespawNxX6195 ай бұрын

    Thank you !

  • @Shwoompy
    @Shwoompy6 жыл бұрын

    THANK U BROTHA

  • @blenkal5373
    @blenkal53735 жыл бұрын

    Seriously I Thank u.

  • @praneethpottimuthi457
    @praneethpottimuthi4574 жыл бұрын

    Very helpful

  • @notomatoesx
    @notomatoesx5 жыл бұрын

    awesome, now do it with trig max and minimums !!

  • @nyomimorris6364
    @nyomimorris63642 жыл бұрын

    41:33, I am confused why 0 is part of the critical points. Wouldnt it just be -1 and 1?

  • @SoniaAnastasiaaa
    @SoniaAnastasiaaa6 жыл бұрын

    you are amazing

  • @saadalikhan494
    @saadalikhan4943 жыл бұрын

    I have a query. at 3:58 we have a graph which does not have a minima as last point is encircled and therefore is not part of the graph but the point before that is included in the graph so why we don't consider it as a minima. Thanks in advance

  • @riteshkumar-xn9kj
    @riteshkumar-xn9kj2 ай бұрын

    I am a normal student,I see this dude's video,I like

  • @vctoriaotumdi9991
    @vctoriaotumdi99914 жыл бұрын

    Thank you

  • @austenwilliams3259
    @austenwilliams3259 Жыл бұрын

    youre the best!

  • @Zenbeau
    @Zenbeau4 жыл бұрын

    14:08 you said if the leading coefficient has a odd power like x^3 then it will have no max or minimums. but at 22:21 that function also has a leading coefficient with odd power of ^3 but that one has a max and minimum for some reason?

  • @wildlifeadventuregirl
    @wildlifeadventuregirl4 жыл бұрын

    For the last problem I dont think you would include -3/2^1/2 because it is equal to -2.1 which is outside the restricted domain. so there would be no local min and -2 would be the absolute min. Correct me if Im wrong.

  • @SM-qn7sr

    @SM-qn7sr

    2 жыл бұрын

    At 1:09:00 he said it’s not part of the interval

  • @danjumaameh1601
    @danjumaameh16015 жыл бұрын

    @36.12 it should be minus 12(0) i.e -0 and not +0 as stated in the question but more importantly perhaps @ 3.27 which should be -12(2) and not +12(2) ...... -24 and not +24 hence final answer @36.45 should be -7 and not +41.

  • @jimhalpert9803

    @jimhalpert9803

    4 жыл бұрын

    Bruh he corrected it in the video itself.

  • @heckrus.....gaming5099
    @heckrus.....gaming5099 Жыл бұрын

    Thanks 👍

  • @rami5155
    @rami51556 жыл бұрын

    @1:04:30 you keep using -3/sqrt(2) wich is -2.12 so its out of our intervall. Or did I do something wrong here?

  • @Loots1

    @Loots1

    5 жыл бұрын

    no youre right, i think he just made a mistake

  • @misutokiriya6547

    @misutokiriya6547

    4 жыл бұрын

    It's been like a year but for future uses, he did remove it in the end; thus, not making it the absolute minimum value in the interval [-2,3]

  • @christanellylaboga8279
    @christanellylaboga82795 жыл бұрын

    how is 5/3 present in 2/3? please explain

  • @samadkamran5303
    @samadkamran53034 жыл бұрын

    So like... does chain rule not apply to this because when you bring the exponent down don't you have to multiply the expression by its derivative-

  • @hopecritical-ops5554
    @hopecritical-ops5554 Жыл бұрын

    Quick question: Wouldn't the square root of 9-(3)^2=0, which would create a domain issue?

  • @user-bw1jn1yc1i
    @user-bw1jn1yc1i7 ай бұрын

    Thank you for this video, nice explanations. One correction: f(2) = 3(2)^2 - 12(2) + 5 = -7 actually, not 41. Cheers!

  • @user-bw1jn1yc1i

    @user-bw1jn1yc1i

    7 ай бұрын

    Whoops, just saw your in-video correction. No worries!

  • @SM-qn7sr
    @SM-qn7sr2 жыл бұрын

    on 57:26, shouldn't the graph be restricted on the interval [-1,2]? Why did you make it continuous on all real numbers?

  • @Inktron
    @Inktron Жыл бұрын

    This video has saved me in my darkest hour

  • @Chrisymcmb
    @Chrisymcmb3 жыл бұрын

    Thanks G

  • @ratimshariar102
    @ratimshariar1022 жыл бұрын

    what will we do when we have modulus function

  • @amitberwal3673
    @amitberwal36737 жыл бұрын

    Thanx

  • @magnus4537
    @magnus4537 Жыл бұрын

    What if we have two minimums, but they are "the same"? (-1, -1) and (1, -1). Are both absolute minimum? Or are they both local minimum?

  • @mr.9754
    @mr.97544 жыл бұрын

    52:10 If you want to shave (valuable) seconds off (while getting a better idea visually/kinestheticly), don't bother wasting time "testing points" to find out where the derivative changes sign. Simply quickly plot the (*numerator of the) derivative, ie plot f' vs x. Just use end behavior and the zeros to do this. (*Yes, there is something in the denominator in this particular example because we are dealing with a rational function, but in this example the denominator is always positive, so it won't affect finding where f' changes sign. Keep in mind, that you can avoid "testing the points" 100% of the time if dealing with a polynomial function.)

  • @phyoeminnkyaw9551
    @phyoeminnkyaw95519 ай бұрын

    thank u

  • @rickybobby5584
    @rickybobby55845 жыл бұрын

    Very nice but on 7:20 you said if f'(c) doesn't exist, we have a cusp. Not necessarily coz we might have vertical tangent just like in f(x)=x^(1/3) at x=0 . So how can we tell if we have a cusp or vertical tangent?

  • @SM-qn7sr

    @SM-qn7sr

    2 жыл бұрын

    its a cusp because if f'(c) doesnt exist at x=a certain number then its not differentiable at that number and not differentiable means the first derivative isn't continuous on x=that number. Its only a verticle tangent if f(x) is undefined, not f'(c)

  • @xxpirategamingxx7994
    @xxpirategamingxx79945 жыл бұрын

    God bless you

  • @3B-OD
    @3B-OD7 ай бұрын

    52:25 if you plug in 1 the answer is gonna be negative no ?

  • @honardocaliboso4765
    @honardocaliboso47654 жыл бұрын

    In 27:55 it's super complicated.

  • @adityawankhede7260
    @adityawankhede7260 Жыл бұрын

    8:82 Shouldn't the lower local min be a critical number instead?

  • @user-ew5vj1sl1u
    @user-ew5vj1sl1u Жыл бұрын

    57:50

  • @mirzamaisha9719
    @mirzamaisha97195 жыл бұрын

    whoever dislikes his videos will never be able to learn anything in life.

  • @jimhalpert9803

    @jimhalpert9803

    4 жыл бұрын

    Dislikers are probably the rival educational youtubers lol

  • @ghhjjhjjjhujjvfhm7962

    @ghhjjhjjjhujjvfhm7962

    3 жыл бұрын

    No just hate your comments If someone commented it id probably like it A hole

  • @nicholasmaloof8378
    @nicholasmaloof83785 жыл бұрын

    Him: "and the value is 46" Me: "OH MY GOD WHAT DID I DO WRONG HOW DID HE GET THAT"

  • @emkayvevo4950
    @emkayvevo49507 жыл бұрын

    Please, do you have to find the X and Y intercepts to draw the graph with accuracy? If so, then how do I find my X_intercept for 2x^4 - 2x^2 - 1=0? Thank you

  • @TheOrganicChemistryTutor

    @TheOrganicChemistryTutor

    7 жыл бұрын

    It doesn't look factorable. You can use the quadratic formula where a = 2, b = -2, and c =-1. The result that you get will equal x^2 and not x so you will have to take the square root of that result to get the final answer. You can also graph it using an online graphing calculator and find where it touches the x axis. Go to google and type in 'online graphing calculator' and the choose the first link that comes up which is desmos.com. Type in the expression "2x^4-2x^2-1" without the =0 part and you should see the graph. Move the mouse to the point where the graph touches the x - axis and you should see the answer. x = +1.169 and -1.169. I hope that helps :)

  • @emkayvevo4950

    @emkayvevo4950

    7 жыл бұрын

    Thank you.

  • @improvementology4011
    @improvementology40119 ай бұрын

    44:30

  • @nisarali1954
    @nisarali19546 жыл бұрын

    zaber 10 teacher dy,,,,,,,,,,,,,,,,hd py kae nu mara

  • @krotone9484
    @krotone94845 жыл бұрын

    what program do you use to do the video?

  • @TheOrganicChemistryTutor

    @TheOrganicChemistryTutor

    5 жыл бұрын

    It's in this video: kzread.info/dash/bejne/pHaH16-on7C_otY.html

  • @RiusII401
    @RiusII4014 жыл бұрын

    Hi, for the first problem you did, does it matter which number you plug into the first derivative? You did plugged in a # that is smaller than 1.5 into 2(2x-3). If I plug in a # that is smaller that 1.5 into 6x-6, would I still get the same answer as you? Thank you!

  • @ghhjjhjjjhujjvfhm7962

    @ghhjjhjjjhujjvfhm7962

    3 жыл бұрын

    Ya bro

  • @rijiii_
    @rijiii_2 жыл бұрын

    I like your voice...

  • @ingoingason6680
    @ingoingason66806 жыл бұрын

    hey man, can you take my exam for me? thanks

  • @suga_tofu
    @suga_tofu3 жыл бұрын

    Does absolute max/min mean global max/min?

  • @sebastiangiray3614
    @sebastiangiray36144 жыл бұрын

    question on the laast problem..................................why would you include -3/2^1/2 ???? its already beyond -2???? please answer??organic chem plssss

  • @clarawhelan5717
    @clarawhelan57173 жыл бұрын

    i love you

  • @yangatrades
    @yangatrades4 жыл бұрын

    How can we repay you

  • @jimhalpert9803

    @jimhalpert9803

    4 жыл бұрын

    Patreon

  • @eddie6167
    @eddie61674 жыл бұрын

    Physics C E&M Playlist?

  • @MostafaMahmoud-tw7xi
    @MostafaMahmoud-tw7xi Жыл бұрын

    36:45 he switch the -12 to +12 did anyone noticed ?

  • @SummerConquera
    @SummerConquera2 ай бұрын

    Thankyouuuuu🥺❤️

  • @bucketheadred2287
    @bucketheadred22874 жыл бұрын

    31:08

  • @nerdymath89
    @nerdymath893 жыл бұрын

    🙌🙌🙌

  • @kurtseiffert8392
    @kurtseiffert83925 жыл бұрын

    I feel like I should be paying him

  • @dareal2669

    @dareal2669

    4 жыл бұрын

    Lol same

  • @razasyed575
    @razasyed5752 жыл бұрын

    YEAAAAAAAAAAAAAAH BABY

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